Mathematics Question and Solution
a² = 2*5²
a = √(50)
a = 5√(2) cm.
tanb = 10/5
b = atan(2)°
c = b-45
c = (atan(2)-45)°
c = 18.4349488229°
d = 90-b
d = (90-atan(2))°
d = 26.5650511771°
e = 180-2d
e = 180-2*26.5650511771
e = 126.8698976458°
f² = 5²+5²-2*5*5cos126.8698976458
f = 8.94427191 cm.
Therefore, Blue Area is;
Are triangle with height 5√(2) cm and base 8.94427191sin18.4349488229 cm.
= 0.5*5√(2)*8.94427191sin18.4349488229
= 10 cm²
